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Finding the Fourth Proportional to 521.22, 719.24 and 288.35

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Solution

The fourth proportional to 521.22, 719.24 and 288.35 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 719.24 = 288.35 : x
  2. Step 2: Convert to fraction form
    521.22/719.24 = 288.35/x
  3. Step 3: Cross multiply
    521.22x = 719.24 × 288.35
  4. Step 4: Simplify right side
    521.22x = 207,392.85
  5. Step 5: Solve for x
    x = 207,392.85/521.22
  6. Step 6: Final answer
    x = 397.90

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