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Finding the Fourth Proportional to 356.76, 534.67 and 161.75

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Solution

The fourth proportional to 356.76, 534.67 and 161.75 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.76 : 534.67 = 161.75 : x
  2. Step 2: Convert to fraction form
    356.76/534.67 = 161.75/x
  3. Step 3: Cross multiply
    356.76x = 534.67 × 161.75
  4. Step 4: Simplify right side
    356.76x = 86,482.87
  5. Step 5: Solve for x
    x = 86,482.87/356.76
  6. Step 6: Final answer
    x = 242.41

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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.