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Finding the Fourth Proportional to 157.02, 233.07 and 146.90

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Solution

The fourth proportional to 157.02, 233.07 and 146.90 is: 218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 233.07 = 146.90 : x
  2. Step 2: Convert to fraction form
    157.02/233.07 = 146.90/x
  3. Step 3: Cross multiply
    157.02x = 233.07 × 146.90
  4. Step 4: Simplify right side
    157.02x = 34,236.82
  5. Step 5: Solve for x
    x = 34,236.82/157.02
  6. Step 6: Final answer
    x = 218.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.