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Finding the Fourth Proportional to 530.42, 731.84 and 343.58

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Solution

The fourth proportional to 530.42, 731.84 and 343.58 is: 474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 731.84 = 343.58 : x
  2. Step 2: Convert to fraction form
    530.42/731.84 = 343.58/x
  3. Step 3: Cross multiply
    530.42x = 731.84 × 343.58
  4. Step 4: Simplify right side
    530.42x = 251,440.21
  5. Step 5: Solve for x
    x = 251,440.21/530.42
  6. Step 6: Final answer
    x = 474.04

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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.