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Finding the Fourth Proportional to 332.32, 497.40 and 304.60

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Solution

The fourth proportional to 332.32, 497.40 and 304.60 is: 455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.32 : 497.40 = 304.60 : x
  2. Step 2: Convert to fraction form
    332.32/497.40 = 304.60/x
  3. Step 3: Cross multiply
    332.32x = 497.40 × 304.60
  4. Step 4: Simplify right side
    332.32x = 151,508.04
  5. Step 5: Solve for x
    x = 151,508.04/332.32
  6. Step 6: Final answer
    x = 455.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.