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Finding the Fourth Proportional to 390.71, 584.85 and 304.30

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Solution

The fourth proportional to 390.71, 584.85 and 304.30 is: 455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.71 : 584.85 = 304.30 : x
  2. Step 2: Convert to fraction form
    390.71/584.85 = 304.30/x
  3. Step 3: Cross multiply
    390.71x = 584.85 × 304.30
  4. Step 4: Simplify right side
    390.71x = 177,966.93
  5. Step 5: Solve for x
    x = 177,966.93/390.71
  6. Step 6: Final answer
    x = 455.50

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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.