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Finding the Fourth Proportional to 384.24, 530.25 and 209.58

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Solution

The fourth proportional to 384.24, 530.25 and 209.58 is: 289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.24 : 530.25 = 209.58 : x
  2. Step 2: Convert to fraction form
    384.24/530.25 = 209.58/x
  3. Step 3: Cross multiply
    384.24x = 530.25 × 209.58
  4. Step 4: Simplify right side
    384.24x = 111,129.80
  5. Step 5: Solve for x
    x = 111,129.80/384.24
  6. Step 6: Final answer
    x = 289.22

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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.