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Finding the Fourth Proportional to 332.31, 457.62 and 258.50

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Solution

The fourth proportional to 332.31, 457.62 and 258.50 is: 355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.31 : 457.62 = 258.50 : x
  2. Step 2: Convert to fraction form
    332.31/457.62 = 258.50/x
  3. Step 3: Cross multiply
    332.31x = 457.62 × 258.50
  4. Step 4: Simplify right side
    332.31x = 118,295.91
  5. Step 5: Solve for x
    x = 118,295.91/332.31
  6. Step 6: Final answer
    x = 355.98

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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.