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Finding the Fourth Proportional to 309.24, 461.61 and 257.40

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Solution

The fourth proportional to 309.24, 461.61 and 257.40 is: 384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 461.61 = 257.40 : x
  2. Step 2: Convert to fraction form
    309.24/461.61 = 257.40/x
  3. Step 3: Cross multiply
    309.24x = 461.61 × 257.40
  4. Step 4: Simplify right side
    309.24x = 118,818.41
  5. Step 5: Solve for x
    x = 118,818.41/309.24
  6. Step 6: Final answer
    x = 384.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.