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Finding the Fourth Proportional to 390.31, 584.94 and 253.28

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Solution

The fourth proportional to 390.31, 584.94 and 253.28 is: 379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.31 : 584.94 = 253.28 : x
  2. Step 2: Convert to fraction form
    390.31/584.94 = 253.28/x
  3. Step 3: Cross multiply
    390.31x = 584.94 × 253.28
  4. Step 4: Simplify right side
    390.31x = 148,153.60
  5. Step 5: Solve for x
    x = 148,153.60/390.31
  6. Step 6: Final answer
    x = 379.58

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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.