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Finding the Fourth Proportional to 309.42, 460.08 and 296.46

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Solution

The fourth proportional to 309.42, 460.08 and 296.46 is: 440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 460.08 = 296.46 : x
  2. Step 2: Convert to fraction form
    309.42/460.08 = 296.46/x
  3. Step 3: Cross multiply
    309.42x = 460.08 × 296.46
  4. Step 4: Simplify right side
    309.42x = 136,395.32
  5. Step 5: Solve for x
    x = 136,395.32/309.42
  6. Step 6: Final answer
    x = 440.81

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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.