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Finding the Fourth Proportional to 362.19, 540.94 and 313.59

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Solution

The fourth proportional to 362.19, 540.94 and 313.59 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.19 : 540.94 = 313.59 : x
  2. Step 2: Convert to fraction form
    362.19/540.94 = 313.59/x
  3. Step 3: Cross multiply
    362.19x = 540.94 × 313.59
  4. Step 4: Simplify right side
    362.19x = 169,632.59
  5. Step 5: Solve for x
    x = 169,632.59/362.19
  6. Step 6: Final answer
    x = 468.35

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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.