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Finding the Fourth Proportional to 359.91, 541.71 and 307.05

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Solution

The fourth proportional to 359.91, 541.71 and 307.05 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 541.71 = 307.05 : x
  2. Step 2: Convert to fraction form
    359.91/541.71 = 307.05/x
  3. Step 3: Cross multiply
    359.91x = 541.71 × 307.05
  4. Step 4: Simplify right side
    359.91x = 166,332.06
  5. Step 5: Solve for x
    x = 166,332.06/359.91
  6. Step 6: Final answer
    x = 462.15

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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.