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Finding the Fourth Proportional to 157.01, 216.47 and 117.65

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Solution

The fourth proportional to 157.01, 216.47 and 117.65 is: 162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.01 : 216.47 = 117.65 : x
  2. Step 2: Convert to fraction form
    157.01/216.47 = 117.65/x
  3. Step 3: Cross multiply
    157.01x = 216.47 × 117.65
  4. Step 4: Simplify right side
    157.01x = 25,468.53
  5. Step 5: Solve for x
    x = 25,468.53/157.01
  6. Step 6: Final answer
    x = 162.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.