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Finding the Fourth Proportional to 501.32, 751.78 and 208.62

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Solution

The fourth proportional to 501.32, 751.78 and 208.62 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 751.78 = 208.62 : x
  2. Step 2: Convert to fraction form
    501.32/751.78 = 208.62/x
  3. Step 3: Cross multiply
    501.32x = 751.78 × 208.62
  4. Step 4: Simplify right side
    501.32x = 156,835.30
  5. Step 5: Solve for x
    x = 156,835.30/501.32
  6. Step 6: Final answer
    x = 312.84

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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.