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Finding the Fourth Proportional to 101.84, 152 and 88.08

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Solution

The fourth proportional to 101.84, 152 and 88.08 is: 131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 152 = 88.08 : x
  2. Step 2: Convert to fraction form
    101.84/152 = 88.08/x
  3. Step 3: Cross multiply
    101.84x = 152 × 88.08
  4. Step 4: Simplify right side
    101.84x = 13,388.16
  5. Step 5: Solve for x
    x = 13,388.16/101.84
  6. Step 6: Final answer
    x = 131.46

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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.