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Finding the Fourth Proportional to 309.33, 425.66 and 307.65

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Solution

The fourth proportional to 309.33, 425.66 and 307.65 is: 423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.33 : 425.66 = 307.65 : x
  2. Step 2: Convert to fraction form
    309.33/425.66 = 307.65/x
  3. Step 3: Cross multiply
    309.33x = 425.66 × 307.65
  4. Step 4: Simplify right side
    309.33x = 130,952.76
  5. Step 5: Solve for x
    x = 130,952.76/309.33
  6. Step 6: Final answer
    x = 423.34

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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.