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Finding the Fourth Proportional to 316.74, 471.84 and 296.82

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Solution

The fourth proportional to 316.74, 471.84 and 296.82 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 471.84 = 296.82 : x
  2. Step 2: Convert to fraction form
    316.74/471.84 = 296.82/x
  3. Step 3: Cross multiply
    316.74x = 471.84 × 296.82
  4. Step 4: Simplify right side
    316.74x = 140,051.55
  5. Step 5: Solve for x
    x = 140,051.55/316.74
  6. Step 6: Final answer
    x = 442.17

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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.