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Finding the Fourth Proportional to 309.86, 464.30 and 136.35

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Solution

The fourth proportional to 309.86, 464.30 and 136.35 is: 204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.86 : 464.30 = 136.35 : x
  2. Step 2: Convert to fraction form
    309.86/464.30 = 136.35/x
  3. Step 3: Cross multiply
    309.86x = 464.30 × 136.35
  4. Step 4: Simplify right side
    309.86x = 63,307.13
  5. Step 5: Solve for x
    x = 63,307.13/309.86
  6. Step 6: Final answer
    x = 204.31

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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.