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Finding the Fourth Proportional to 102.42, 153.68 and 48.33

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Solution

The fourth proportional to 102.42, 153.68 and 48.33 is: 72.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 153.68 = 48.33 : x
  2. Step 2: Convert to fraction form
    102.42/153.68 = 48.33/x
  3. Step 3: Cross multiply
    102.42x = 153.68 × 48.33
  4. Step 4: Simplify right side
    102.42x = 7,427.11
  5. Step 5: Solve for x
    x = 7,427.11/102.42
  6. Step 6: Final answer
    x = 72.52

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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.