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Finding the Fourth Proportional to 157.84, 235.16 and 157.20

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Solution

The fourth proportional to 157.84, 235.16 and 157.20 is: 234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 235.16 = 157.20 : x
  2. Step 2: Convert to fraction form
    157.84/235.16 = 157.20/x
  3. Step 3: Cross multiply
    157.84x = 235.16 × 157.20
  4. Step 4: Simplify right side
    157.84x = 36,967.15
  5. Step 5: Solve for x
    x = 36,967.15/157.84
  6. Step 6: Final answer
    x = 234.21

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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.