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Finding the Fourth Proportional to 296.59, 444.98 and 123.16

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Solution

The fourth proportional to 296.59, 444.98 and 123.16 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.59 : 444.98 = 123.16 : x
  2. Step 2: Convert to fraction form
    296.59/444.98 = 123.16/x
  3. Step 3: Cross multiply
    296.59x = 444.98 × 123.16
  4. Step 4: Simplify right side
    296.59x = 54,801.51
  5. Step 5: Solve for x
    x = 54,801.51/296.59
  6. Step 6: Final answer
    x = 184.78

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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.