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Finding the Fourth Proportional to 384.19, 530.19 and 209.55

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Solution

The fourth proportional to 384.19, 530.19 and 209.55 is: 289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 530.19 = 209.55 : x
  2. Step 2: Convert to fraction form
    384.19/530.19 = 209.55/x
  3. Step 3: Cross multiply
    384.19x = 530.19 × 209.55
  4. Step 4: Simplify right side
    384.19x = 111,101.31
  5. Step 5: Solve for x
    x = 111,101.31/384.19
  6. Step 6: Final answer
    x = 289.18

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.