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Finding the Fourth Proportional to 309.32, 465.04 and 283.70

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Solution

The fourth proportional to 309.32, 465.04 and 283.70 is: 426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.32 : 465.04 = 283.70 : x
  2. Step 2: Convert to fraction form
    309.32/465.04 = 283.70/x
  3. Step 3: Cross multiply
    309.32x = 465.04 × 283.70
  4. Step 4: Simplify right side
    309.32x = 131,928.10
  5. Step 5: Solve for x
    x = 131,928.10/309.32
  6. Step 6: Final answer
    x = 426.52

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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.