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Finding the Fourth Proportional to 457.18, 630.91 and 258.05

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Solution

The fourth proportional to 457.18, 630.91 and 258.05 is: 356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.18 : 630.91 = 258.05 : x
  2. Step 2: Convert to fraction form
    457.18/630.91 = 258.05/x
  3. Step 3: Cross multiply
    457.18x = 630.91 × 258.05
  4. Step 4: Simplify right side
    457.18x = 162,806.33
  5. Step 5: Solve for x
    x = 162,806.33/457.18
  6. Step 6: Final answer
    x = 356.11

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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.