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Finding the Fourth Proportional to 370.16, 509.48 and 353.76

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Solution

The fourth proportional to 370.16, 509.48 and 353.76 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.16 : 509.48 = 353.76 : x
  2. Step 2: Convert to fraction form
    370.16/509.48 = 353.76/x
  3. Step 3: Cross multiply
    370.16x = 509.48 × 353.76
  4. Step 4: Simplify right side
    370.16x = 180,233.64
  5. Step 5: Solve for x
    x = 180,233.64/370.16
  6. Step 6: Final answer
    x = 486.91

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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.