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Finding the Fourth Proportional to 332.72, 496.48 and 284.48

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Solution

The fourth proportional to 332.72, 496.48 and 284.48 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.72 : 496.48 = 284.48 : x
  2. Step 2: Convert to fraction form
    332.72/496.48 = 284.48/x
  3. Step 3: Cross multiply
    332.72x = 496.48 × 284.48
  4. Step 4: Simplify right side
    332.72x = 141,238.63
  5. Step 5: Solve for x
    x = 141,238.63/332.72
  6. Step 6: Final answer
    x = 424.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.