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Finding the Fourth Proportional to 359.16, 495.72 and 266.19

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Solution

The fourth proportional to 359.16, 495.72 and 266.19 is: 367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.16 : 495.72 = 266.19 : x
  2. Step 2: Convert to fraction form
    359.16/495.72 = 266.19/x
  3. Step 3: Cross multiply
    359.16x = 495.72 × 266.19
  4. Step 4: Simplify right side
    359.16x = 131,955.71
  5. Step 5: Solve for x
    x = 131,955.71/359.16
  6. Step 6: Final answer
    x = 367.40

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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.