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Finding the Fourth Proportional to 469.88, 705.24 and 253.64

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Solution

The fourth proportional to 469.88, 705.24 and 253.64 is: 380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.88 : 705.24 = 253.64 : x
  2. Step 2: Convert to fraction form
    469.88/705.24 = 253.64/x
  3. Step 3: Cross multiply
    469.88x = 705.24 × 253.64
  4. Step 4: Simplify right side
    469.88x = 178,877.07
  5. Step 5: Solve for x
    x = 178,877.07/469.88
  6. Step 6: Final answer
    x = 380.69

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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.