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Finding the Fourth Proportional to 359.63, 497.21 and 277.01

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Solution

The fourth proportional to 359.63, 497.21 and 277.01 is: 382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.63 : 497.21 = 277.01 : x
  2. Step 2: Convert to fraction form
    359.63/497.21 = 277.01/x
  3. Step 3: Cross multiply
    359.63x = 497.21 × 277.01
  4. Step 4: Simplify right side
    359.63x = 137,732.14
  5. Step 5: Solve for x
    x = 137,732.14/359.63
  6. Step 6: Final answer
    x = 382.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.