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Finding the Fourth Proportional to 530.42, 732.04 and 294.39

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Solution

The fourth proportional to 530.42, 732.04 and 294.39 is: 406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 732.04 = 294.39 : x
  2. Step 2: Convert to fraction form
    530.42/732.04 = 294.39/x
  3. Step 3: Cross multiply
    530.42x = 732.04 × 294.39
  4. Step 4: Simplify right side
    530.42x = 215,505.26
  5. Step 5: Solve for x
    x = 215,505.26/530.42
  6. Step 6: Final answer
    x = 406.29

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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.