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Finding the Fourth Proportional to 296.98, 445.44 and 102.10

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Solution

The fourth proportional to 296.98, 445.44 and 102.10 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.98 : 445.44 = 102.10 : x
  2. Step 2: Convert to fraction form
    296.98/445.44 = 102.10/x
  3. Step 3: Cross multiply
    296.98x = 445.44 × 102.10
  4. Step 4: Simplify right side
    296.98x = 45,479.42
  5. Step 5: Solve for x
    x = 45,479.42/296.98
  6. Step 6: Final answer
    x = 153.14

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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.