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Finding the Fourth Proportional to 390.84, 586.26 and 117.14

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Solution

The fourth proportional to 390.84, 586.26 and 117.14 is: 175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 586.26 = 117.14 : x
  2. Step 2: Convert to fraction form
    390.84/586.26 = 117.14/x
  3. Step 3: Cross multiply
    390.84x = 586.26 × 117.14
  4. Step 4: Simplify right side
    390.84x = 68,671.57
  5. Step 5: Solve for x
    x = 68,671.57/390.84
  6. Step 6: Final answer
    x = 175.70

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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.