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Finding the Fourth Proportional to 301.32, 454.21 and 283.70

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Solution

The fourth proportional to 301.32, 454.21 and 283.70 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 454.21 = 283.70 : x
  2. Step 2: Convert to fraction form
    301.32/454.21 = 283.70/x
  3. Step 3: Cross multiply
    301.32x = 454.21 × 283.70
  4. Step 4: Simplify right side
    301.32x = 128,859.80
  5. Step 5: Solve for x
    x = 128,859.80/301.32
  6. Step 6: Final answer
    x = 427.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.