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Finding the Fourth Proportional to 157.01, 235.49 and 65.67

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Solution

The fourth proportional to 157.01, 235.49 and 65.67 is: 98.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.01 : 235.49 = 65.67 : x
  2. Step 2: Convert to fraction form
    157.01/235.49 = 65.67/x
  3. Step 3: Cross multiply
    157.01x = 235.49 × 65.67
  4. Step 4: Simplify right side
    157.01x = 15,464.30
  5. Step 5: Solve for x
    x = 15,464.30/157.01
  6. Step 6: Final answer
    x = 98.50

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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.