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Finding the Fourth Proportional to 301.86, 450.05 and 284.76

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Solution

The fourth proportional to 301.86, 450.05 and 284.76 is: 424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 450.05 = 284.76 : x
  2. Step 2: Convert to fraction form
    301.86/450.05 = 284.76/x
  3. Step 3: Cross multiply
    301.86x = 450.05 × 284.76
  4. Step 4: Simplify right side
    301.86x = 128,154.81
  5. Step 5: Solve for x
    x = 128,154.81/301.86
  6. Step 6: Final answer
    x = 424.55

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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.