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Finding the Fourth Proportional to 296.91, 448.02 and 285.66

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Solution

The fourth proportional to 296.91, 448.02 and 285.66 is: 431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.91 : 448.02 = 285.66 : x
  2. Step 2: Convert to fraction form
    296.91/448.02 = 285.66/x
  3. Step 3: Cross multiply
    296.91x = 448.02 × 285.66
  4. Step 4: Simplify right side
    296.91x = 127,981.39
  5. Step 5: Solve for x
    x = 127,981.39/296.91
  6. Step 6: Final answer
    x = 431.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.