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Finding the Fourth Proportional to 157.02, 235.63 and 80.05

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Solution

The fourth proportional to 157.02, 235.63 and 80.05 is: 120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 235.63 = 80.05 : x
  2. Step 2: Convert to fraction form
    157.02/235.63 = 80.05/x
  3. Step 3: Cross multiply
    157.02x = 235.63 × 80.05
  4. Step 4: Simplify right side
    157.02x = 18,862.18
  5. Step 5: Solve for x
    x = 18,862.18/157.02
  6. Step 6: Final answer
    x = 120.13

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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.