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Finding the Fourth Proportional to 456.98, 630.55 and 257.77

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Solution

The fourth proportional to 456.98, 630.55 and 257.77 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 630.55 = 257.77 : x
  2. Step 2: Convert to fraction form
    456.98/630.55 = 257.77/x
  3. Step 3: Cross multiply
    456.98x = 630.55 × 257.77
  4. Step 4: Simplify right side
    456.98x = 162,534.65
  5. Step 5: Solve for x
    x = 162,534.65/456.98
  6. Step 6: Final answer
    x = 355.68

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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.