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Finding the Fourth Proportional to 359.79, 541.90 and 342.51

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Solution

The fourth proportional to 359.79, 541.90 and 342.51 is: 515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.79 : 541.90 = 342.51 : x
  2. Step 2: Convert to fraction form
    359.79/541.90 = 342.51/x
  3. Step 3: Cross multiply
    359.79x = 541.90 × 342.51
  4. Step 4: Simplify right side
    359.79x = 185,606.17
  5. Step 5: Solve for x
    x = 185,606.17/359.79
  6. Step 6: Final answer
    x = 515.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.