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Finding the Fourth Proportional to 360.91, 538.59 and 302.59

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Solution

The fourth proportional to 360.91, 538.59 and 302.59 is: 451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.91 : 538.59 = 302.59 : x
  2. Step 2: Convert to fraction form
    360.91/538.59 = 302.59/x
  3. Step 3: Cross multiply
    360.91x = 538.59 × 302.59
  4. Step 4: Simplify right side
    360.91x = 162,971.95
  5. Step 5: Solve for x
    x = 162,971.95/360.91
  6. Step 6: Final answer
    x = 451.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.