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Finding the Fourth Proportional to 362.94, 541.95 and 288.99

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Solution

The fourth proportional to 362.94, 541.95 and 288.99 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 541.95 = 288.99 : x
  2. Step 2: Convert to fraction form
    362.94/541.95 = 288.99/x
  3. Step 3: Cross multiply
    362.94x = 541.95 × 288.99
  4. Step 4: Simplify right side
    362.94x = 156,618.13
  5. Step 5: Solve for x
    x = 156,618.13/362.94
  6. Step 6: Final answer
    x = 431.53

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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.