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Finding the Fourth Proportional to 309.16, 461.48 and 247.72

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Solution

The fourth proportional to 309.16, 461.48 and 247.72 is: 369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.16 : 461.48 = 247.72 : x
  2. Step 2: Convert to fraction form
    309.16/461.48 = 247.72/x
  3. Step 3: Cross multiply
    309.16x = 461.48 × 247.72
  4. Step 4: Simplify right side
    309.16x = 114,317.83
  5. Step 5: Solve for x
    x = 114,317.83/309.16
  6. Step 6: Final answer
    x = 369.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.