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Finding the Fourth Proportional to 390.74, 584.48 and 309.74

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Solution

The fourth proportional to 390.74, 584.48 and 309.74 is: 463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.74 : 584.48 = 309.74 : x
  2. Step 2: Convert to fraction form
    390.74/584.48 = 309.74/x
  3. Step 3: Cross multiply
    390.74x = 584.48 × 309.74
  4. Step 4: Simplify right side
    390.74x = 181,034.69
  5. Step 5: Solve for x
    x = 181,034.69/390.74
  6. Step 6: Final answer
    x = 463.32

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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.