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Finding the Fourth Proportional to 395.77, 591.34 and 291.20

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Solution

The fourth proportional to 395.77, 591.34 and 291.20 is: 435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.77 : 591.34 = 291.20 : x
  2. Step 2: Convert to fraction form
    395.77/591.34 = 291.20/x
  3. Step 3: Cross multiply
    395.77x = 591.34 × 291.20
  4. Step 4: Simplify right side
    395.77x = 172,200.24
  5. Step 5: Solve for x
    x = 172,200.24/395.77
  6. Step 6: Final answer
    x = 435.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.