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Finding the Fourth Proportional to 375.27, 562.53 and 265.59

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Solution

The fourth proportional to 375.27, 562.53 and 265.59 is: 398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.27 : 562.53 = 265.59 : x
  2. Step 2: Convert to fraction form
    375.27/562.53 = 265.59/x
  3. Step 3: Cross multiply
    375.27x = 562.53 × 265.59
  4. Step 4: Simplify right side
    375.27x = 149,402.34
  5. Step 5: Solve for x
    x = 149,402.34/375.27
  6. Step 6: Final answer
    x = 398.12

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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.