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Finding the Fourth Proportional to 370.25, 555.49 and 315.81

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Solution

The fourth proportional to 370.25, 555.49 and 315.81 is: 473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.25 : 555.49 = 315.81 : x
  2. Step 2: Convert to fraction form
    370.25/555.49 = 315.81/x
  3. Step 3: Cross multiply
    370.25x = 555.49 × 315.81
  4. Step 4: Simplify right side
    370.25x = 175,427.72
  5. Step 5: Solve for x
    x = 175,427.72/370.25
  6. Step 6: Final answer
    x = 473.82

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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.