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Finding the Fourth Proportional to 501.07, 751.64 and 135.86

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Solution

The fourth proportional to 501.07, 751.64 and 135.86 is: 203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.07 : 751.64 = 135.86 : x
  2. Step 2: Convert to fraction form
    501.07/751.64 = 135.86/x
  3. Step 3: Cross multiply
    501.07x = 751.64 × 135.86
  4. Step 4: Simplify right side
    501.07x = 102,114.39
  5. Step 5: Solve for x
    x = 102,114.39/501.07
  6. Step 6: Final answer
    x = 203.79

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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.