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Finding the Fourth Proportional to 292.13, 438.14 and 118.76

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Solution

The fourth proportional to 292.13, 438.14 and 118.76 is: 178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.13 : 438.14 = 118.76 : x
  2. Step 2: Convert to fraction form
    292.13/438.14 = 118.76/x
  3. Step 3: Cross multiply
    292.13x = 438.14 × 118.76
  4. Step 4: Simplify right side
    292.13x = 52,030.94
  5. Step 5: Solve for x
    x = 52,030.94/292.13
  6. Step 6: Final answer
    x = 178.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.