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Finding the Fourth Proportional to 479.24, 718.02 and 205.06

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Solution

The fourth proportional to 479.24, 718.02 and 205.06 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.24 : 718.02 = 205.06 : x
  2. Step 2: Convert to fraction form
    479.24/718.02 = 205.06/x
  3. Step 3: Cross multiply
    479.24x = 718.02 × 205.06
  4. Step 4: Simplify right side
    479.24x = 147,237.18
  5. Step 5: Solve for x
    x = 147,237.18/479.24
  6. Step 6: Final answer
    x = 307.23

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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.