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Finding the Fourth Proportional to 157.55, 218.53 and 152.01

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Solution

The fourth proportional to 157.55, 218.53 and 152.01 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.55 : 218.53 = 152.01 : x
  2. Step 2: Convert to fraction form
    157.55/218.53 = 152.01/x
  3. Step 3: Cross multiply
    157.55x = 218.53 × 152.01
  4. Step 4: Simplify right side
    157.55x = 33,218.94
  5. Step 5: Solve for x
    x = 33,218.94/157.55
  6. Step 6: Final answer
    x = 210.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.