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Finding the Fourth Proportional to 386.98, 532.65 and 320.74

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Solution

The fourth proportional to 386.98, 532.65 and 320.74 is: 441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.98 : 532.65 = 320.74 : x
  2. Step 2: Convert to fraction form
    386.98/532.65 = 320.74/x
  3. Step 3: Cross multiply
    386.98x = 532.65 × 320.74
  4. Step 4: Simplify right side
    386.98x = 170,842.16
  5. Step 5: Solve for x
    x = 170,842.16/386.98
  6. Step 6: Final answer
    x = 441.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.