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Finding the Fourth Proportional to 581.36, 801.96 and 345.28

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Solution

The fourth proportional to 581.36, 801.96 and 345.28 is: 476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.36 : 801.96 = 345.28 : x
  2. Step 2: Convert to fraction form
    581.36/801.96 = 345.28/x
  3. Step 3: Cross multiply
    581.36x = 801.96 × 345.28
  4. Step 4: Simplify right side
    581.36x = 276,900.75
  5. Step 5: Solve for x
    x = 276,900.75/581.36
  6. Step 6: Final answer
    x = 476.30

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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.