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Finding the Fourth Proportional to 384.74, 530.93 and 210.08

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Solution

The fourth proportional to 384.74, 530.93 and 210.08 is: 289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.74 : 530.93 = 210.08 : x
  2. Step 2: Convert to fraction form
    384.74/530.93 = 210.08/x
  3. Step 3: Cross multiply
    384.74x = 530.93 × 210.08
  4. Step 4: Simplify right side
    384.74x = 111,534.07
  5. Step 5: Solve for x
    x = 111,534.07/384.74
  6. Step 6: Final answer
    x = 289.90

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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.