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Finding the Fourth Proportional to 157.42, 218.35 and 152.98

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Solution

The fourth proportional to 157.42, 218.35 and 152.98 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.42 : 218.35 = 152.98 : x
  2. Step 2: Convert to fraction form
    157.42/218.35 = 152.98/x
  3. Step 3: Cross multiply
    157.42x = 218.35 × 152.98
  4. Step 4: Simplify right side
    157.42x = 33,403.18
  5. Step 5: Solve for x
    x = 33,403.18/157.42
  6. Step 6: Final answer
    x = 212.19

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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.