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Finding the Fourth Proportional to 102.42, 153.57 and 48.26

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Solution

The fourth proportional to 102.42, 153.57 and 48.26 is: 72.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 153.57 = 48.26 : x
  2. Step 2: Convert to fraction form
    102.42/153.57 = 48.26/x
  3. Step 3: Cross multiply
    102.42x = 153.57 × 48.26
  4. Step 4: Simplify right side
    102.42x = 7,411.29
  5. Step 5: Solve for x
    x = 7,411.29/102.42
  6. Step 6: Final answer
    x = 72.36

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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.