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Finding the Fourth Proportional to 457.61, 631.48 and 258.45

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Solution

The fourth proportional to 457.61, 631.48 and 258.45 is: 356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 631.48 = 258.45 : x
  2. Step 2: Convert to fraction form
    457.61/631.48 = 258.45/x
  3. Step 3: Cross multiply
    457.61x = 631.48 × 258.45
  4. Step 4: Simplify right side
    457.61x = 163,206.01
  5. Step 5: Solve for x
    x = 163,206.01/457.61
  6. Step 6: Final answer
    x = 356.65

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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.