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Finding the Fourth Proportional to 332.91, 498.76 and 287.04

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Solution

The fourth proportional to 332.91, 498.76 and 287.04 is: 430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.91 : 498.76 = 287.04 : x
  2. Step 2: Convert to fraction form
    332.91/498.76 = 287.04/x
  3. Step 3: Cross multiply
    332.91x = 498.76 × 287.04
  4. Step 4: Simplify right side
    332.91x = 143,165.22
  5. Step 5: Solve for x
    x = 143,165.22/332.91
  6. Step 6: Final answer
    x = 430.04

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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.