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Finding the Fourth Proportional to 390.98, 586.66 and 174.70

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Solution

The fourth proportional to 390.98, 586.66 and 174.70 is: 262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.98 : 586.66 = 174.70 : x
  2. Step 2: Convert to fraction form
    390.98/586.66 = 174.70/x
  3. Step 3: Cross multiply
    390.98x = 586.66 × 174.70
  4. Step 4: Simplify right side
    390.98x = 102,489.50
  5. Step 5: Solve for x
    x = 102,489.50/390.98
  6. Step 6: Final answer
    x = 262.13

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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.