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Finding the Fourth Proportional to 501.31, 751.82 and 257.81

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Solution

The fourth proportional to 501.31, 751.82 and 257.81 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.31 : 751.82 = 257.81 : x
  2. Step 2: Convert to fraction form
    501.31/751.82 = 257.81/x
  3. Step 3: Cross multiply
    501.31x = 751.82 × 257.81
  4. Step 4: Simplify right side
    501.31x = 193,826.71
  5. Step 5: Solve for x
    x = 193,826.71/501.31
  6. Step 6: Final answer
    x = 386.64

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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.