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Finding the Fourth Proportional to 500.51, 751.10 and 257.19

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Solution

The fourth proportional to 500.51, 751.10 and 257.19 is: 385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.51 : 751.10 = 257.19 : x
  2. Step 2: Convert to fraction form
    500.51/751.10 = 257.19/x
  3. Step 3: Cross multiply
    500.51x = 751.10 × 257.19
  4. Step 4: Simplify right side
    500.51x = 193,174.12
  5. Step 5: Solve for x
    x = 193,174.12/500.51
  6. Step 6: Final answer
    x = 385.96

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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.