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Finding the Fourth Proportional to 391.37, 585.44 and 357.15

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Solution

The fourth proportional to 391.37, 585.44 and 357.15 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.37 : 585.44 = 357.15 : x
  2. Step 2: Convert to fraction form
    391.37/585.44 = 357.15/x
  3. Step 3: Cross multiply
    391.37x = 585.44 × 357.15
  4. Step 4: Simplify right side
    391.37x = 209,088.11
  5. Step 5: Solve for x
    x = 209,088.11/391.37
  6. Step 6: Final answer
    x = 534.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.