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Finding the Fourth Proportional to 102.40, 152.63 and 98.35

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Solution

The fourth proportional to 102.40, 152.63 and 98.35 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 152.63 = 98.35 : x
  2. Step 2: Convert to fraction form
    102.40/152.63 = 98.35/x
  3. Step 3: Cross multiply
    102.40x = 152.63 × 98.35
  4. Step 4: Simplify right side
    102.40x = 15,011.16
  5. Step 5: Solve for x
    x = 15,011.16/102.40
  6. Step 6: Final answer
    x = 146.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.