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Finding the Fourth Proportional to 501.23, 751.89 and 257.93

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Solution

The fourth proportional to 501.23, 751.89 and 257.93 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.23 : 751.89 = 257.93 : x
  2. Step 2: Convert to fraction form
    501.23/751.89 = 257.93/x
  3. Step 3: Cross multiply
    501.23x = 751.89 × 257.93
  4. Step 4: Simplify right side
    501.23x = 193,935.02
  5. Step 5: Solve for x
    x = 193,935.02/501.23
  6. Step 6: Final answer
    x = 386.92

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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.