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Finding the Fourth Proportional to 581.08, 801.06 and 359.90

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Solution

The fourth proportional to 581.08, 801.06 and 359.90 is: 496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 801.06 = 359.90 : x
  2. Step 2: Convert to fraction form
    581.08/801.06 = 359.90/x
  3. Step 3: Cross multiply
    581.08x = 801.06 × 359.90
  4. Step 4: Simplify right side
    581.08x = 288,301.49
  5. Step 5: Solve for x
    x = 288,301.49/581.08
  6. Step 6: Final answer
    x = 496.15

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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.