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Finding the Fourth Proportional to 370.10, 509.56 and 296.30

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Solution

The fourth proportional to 370.10, 509.56 and 296.30 is: 407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.10 : 509.56 = 296.30 : x
  2. Step 2: Convert to fraction form
    370.10/509.56 = 296.30/x
  3. Step 3: Cross multiply
    370.10x = 509.56 × 296.30
  4. Step 4: Simplify right side
    370.10x = 150,983.16
  5. Step 5: Solve for x
    x = 150,983.16/370.10
  6. Step 6: Final answer
    x = 407.95

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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.