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Finding the Fourth Proportional to 362.95, 540.86 and 345.54

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Solution

The fourth proportional to 362.95, 540.86 and 345.54 is: 514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.95 : 540.86 = 345.54 : x
  2. Step 2: Convert to fraction form
    362.95/540.86 = 345.54/x
  3. Step 3: Cross multiply
    362.95x = 540.86 × 345.54
  4. Step 4: Simplify right side
    362.95x = 186,888.76
  5. Step 5: Solve for x
    x = 186,888.76/362.95
  6. Step 6: Final answer
    x = 514.92

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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.