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Finding the Fourth Proportional to 115.83, 172.90 and 102.16

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Solution

The fourth proportional to 115.83, 172.90 and 102.16 is: 152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 172.90 = 102.16 : x
  2. Step 2: Convert to fraction form
    115.83/172.90 = 102.16/x
  3. Step 3: Cross multiply
    115.83x = 172.90 × 102.16
  4. Step 4: Simplify right side
    115.83x = 17,663.81
  5. Step 5: Solve for x
    x = 17,663.81/115.83
  6. Step 6: Final answer
    x = 152.50

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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.