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Finding the Fourth Proportional to 391.12, 583.78 and 352.24

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Solution

The fourth proportional to 391.12, 583.78 and 352.24 is: 525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.12 : 583.78 = 352.24 : x
  2. Step 2: Convert to fraction form
    391.12/583.78 = 352.24/x
  3. Step 3: Cross multiply
    391.12x = 583.78 × 352.24
  4. Step 4: Simplify right side
    391.12x = 205,630.67
  5. Step 5: Solve for x
    x = 205,630.67/391.12
  6. Step 6: Final answer
    x = 525.75

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