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Finding the Fourth Proportional to 359.51, 538.45 and 256.91

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Solution

The fourth proportional to 359.51, 538.45 and 256.91 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.51 : 538.45 = 256.91 : x
  2. Step 2: Convert to fraction form
    359.51/538.45 = 256.91/x
  3. Step 3: Cross multiply
    359.51x = 538.45 × 256.91
  4. Step 4: Simplify right side
    359.51x = 138,329.85
  5. Step 5: Solve for x
    x = 138,329.85/359.51
  6. Step 6: Final answer
    x = 384.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.