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Finding the Fourth Proportional to 332.21, 498.32 and 283.81

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Solution

The fourth proportional to 332.21, 498.32 and 283.81 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.21 : 498.32 = 283.81 : x
  2. Step 2: Convert to fraction form
    332.21/498.32 = 283.81/x
  3. Step 3: Cross multiply
    332.21x = 498.32 × 283.81
  4. Step 4: Simplify right side
    332.21x = 141,428.20
  5. Step 5: Solve for x
    x = 141,428.20/332.21
  6. Step 6: Final answer
    x = 425.72

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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.