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Finding the Fourth Proportional to 500.42, 751.08 and 257.12

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Solution

The fourth proportional to 500.42, 751.08 and 257.12 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.42 : 751.08 = 257.12 : x
  2. Step 2: Convert to fraction form
    500.42/751.08 = 257.12/x
  3. Step 3: Cross multiply
    500.42x = 751.08 × 257.12
  4. Step 4: Simplify right side
    500.42x = 193,117.69
  5. Step 5: Solve for x
    x = 193,117.69/500.42
  6. Step 6: Final answer
    x = 385.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.