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Finding the Fourth Proportional to 512.23, 706.80 and 302.35

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Solution

The fourth proportional to 512.23, 706.80 and 302.35 is: 417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.23 : 706.80 = 302.35 : x
  2. Step 2: Convert to fraction form
    512.23/706.80 = 302.35/x
  3. Step 3: Cross multiply
    512.23x = 706.80 × 302.35
  4. Step 4: Simplify right side
    512.23x = 213,700.98
  5. Step 5: Solve for x
    x = 213,700.98/512.23
  6. Step 6: Final answer
    x = 417.20

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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.