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Finding the Fourth Proportional to 469.76, 705.23 and 253.49

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Solution

The fourth proportional to 469.76, 705.23 and 253.49 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 705.23 = 253.49 : x
  2. Step 2: Convert to fraction form
    469.76/705.23 = 253.49/x
  3. Step 3: Cross multiply
    469.76x = 705.23 × 253.49
  4. Step 4: Simplify right side
    469.76x = 178,763.96
  5. Step 5: Solve for x
    x = 178,763.96/469.76
  6. Step 6: Final answer
    x = 380.55

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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.