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Finding the Fourth Proportional to 390.60, 537.84 and 302.76

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Solution

The fourth proportional to 390.60, 537.84 and 302.76 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 537.84 = 302.76 : x
  2. Step 2: Convert to fraction form
    390.60/537.84 = 302.76/x
  3. Step 3: Cross multiply
    390.60x = 537.84 × 302.76
  4. Step 4: Simplify right side
    390.60x = 162,836.44
  5. Step 5: Solve for x
    x = 162,836.44/390.60
  6. Step 6: Final answer
    x = 416.89

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Why These Related Problems?

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