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Finding the Fourth Proportional to 261.99, 393.15 and 117.71

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Solution

The fourth proportional to 261.99, 393.15 and 117.71 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.99 : 393.15 = 117.71 : x
  2. Step 2: Convert to fraction form
    261.99/393.15 = 117.71/x
  3. Step 3: Cross multiply
    261.99x = 393.15 × 117.71
  4. Step 4: Simplify right side
    261.99x = 46,277.64
  5. Step 5: Solve for x
    x = 46,277.64/261.99
  6. Step 6: Final answer
    x = 176.64

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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.