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Finding the Fourth Proportional to 390.98, 586.49 and 117.08

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Solution

The fourth proportional to 390.98, 586.49 and 117.08 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.98 : 586.49 = 117.08 : x
  2. Step 2: Convert to fraction form
    390.98/586.49 = 117.08/x
  3. Step 3: Cross multiply
    390.98x = 586.49 × 117.08
  4. Step 4: Simplify right side
    390.98x = 68,665.59
  5. Step 5: Solve for x
    x = 68,665.59/390.98
  6. Step 6: Final answer
    x = 175.63

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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.