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Finding the Fourth Proportional to 456.76, 630.31 and 257.63

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Solution

The fourth proportional to 456.76, 630.31 and 257.63 is: 355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.76 : 630.31 = 257.63 : x
  2. Step 2: Convert to fraction form
    456.76/630.31 = 257.63/x
  3. Step 3: Cross multiply
    456.76x = 630.31 × 257.63
  4. Step 4: Simplify right side
    456.76x = 162,386.77
  5. Step 5: Solve for x
    x = 162,386.77/456.76
  6. Step 6: Final answer
    x = 355.52

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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.