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Finding the Fourth Proportional to 114.55, 172.20 and 101.11

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Solution

The fourth proportional to 114.55, 172.20 and 101.11 is: 152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.55 : 172.20 = 101.11 : x
  2. Step 2: Convert to fraction form
    114.55/172.20 = 101.11/x
  3. Step 3: Cross multiply
    114.55x = 172.20 × 101.11
  4. Step 4: Simplify right side
    114.55x = 17,411.14
  5. Step 5: Solve for x
    x = 17,411.14/114.55
  6. Step 6: Final answer
    x = 152.00

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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.