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Finding the Fourth Proportional to 360.60, 538.59 and 288.24

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Solution

The fourth proportional to 360.60, 538.59 and 288.24 is: 430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.60 : 538.59 = 288.24 : x
  2. Step 2: Convert to fraction form
    360.60/538.59 = 288.24/x
  3. Step 3: Cross multiply
    360.60x = 538.59 × 288.24
  4. Step 4: Simplify right side
    360.60x = 155,243.18
  5. Step 5: Solve for x
    x = 155,243.18/360.60
  6. Step 6: Final answer
    x = 430.51

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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.