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Finding the Fourth Proportional to 296.41, 444.51 and 101.38

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Solution

The fourth proportional to 296.41, 444.51 and 101.38 is: 152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.41 : 444.51 = 101.38 : x
  2. Step 2: Convert to fraction form
    296.41/444.51 = 101.38/x
  3. Step 3: Cross multiply
    296.41x = 444.51 × 101.38
  4. Step 4: Simplify right side
    296.41x = 45,064.42
  5. Step 5: Solve for x
    x = 45,064.42/296.41
  6. Step 6: Final answer
    x = 152.03

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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.