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Finding the Fourth Proportional to 600.29, 900.39 and 253.61

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Solution

The fourth proportional to 600.29, 900.39 and 253.61 is: 380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.29 : 900.39 = 253.61 : x
  2. Step 2: Convert to fraction form
    600.29/900.39 = 253.61/x
  3. Step 3: Cross multiply
    600.29x = 900.39 × 253.61
  4. Step 4: Simplify right side
    600.29x = 228,347.91
  5. Step 5: Solve for x
    x = 228,347.91/600.29
  6. Step 6: Final answer
    x = 380.40

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1.5x scale

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.