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Finding the Fourth Proportional to 487.46, 732.64 and 231.14

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Solution

The fourth proportional to 487.46, 732.64 and 231.14 is: 347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.46 : 732.64 = 231.14 : x
  2. Step 2: Convert to fraction form
    487.46/732.64 = 231.14/x
  3. Step 3: Cross multiply
    487.46x = 732.64 × 231.14
  4. Step 4: Simplify right side
    487.46x = 169,342.41
  5. Step 5: Solve for x
    x = 169,342.41/487.46
  6. Step 6: Final answer
    x = 347.40

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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.