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Finding the Fourth Proportional to 456.61, 630.12 and 260.12

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Solution

The fourth proportional to 456.61, 630.12 and 260.12 is: 358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.61 : 630.12 = 260.12 : x
  2. Step 2: Convert to fraction form
    456.61/630.12 = 260.12/x
  3. Step 3: Cross multiply
    456.61x = 630.12 × 260.12
  4. Step 4: Simplify right side
    456.61x = 163,909.37
  5. Step 5: Solve for x
    x = 163,909.37/456.61
  6. Step 6: Final answer
    x = 358.97

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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.