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Finding the Fourth Proportional to 300.31, 448.58 and 256.77

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Solution

The fourth proportional to 300.31, 448.58 and 256.77 is: 383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.31 : 448.58 = 256.77 : x
  2. Step 2: Convert to fraction form
    300.31/448.58 = 256.77/x
  3. Step 3: Cross multiply
    300.31x = 448.58 × 256.77
  4. Step 4: Simplify right side
    300.31x = 115,182.53
  5. Step 5: Solve for x
    x = 115,182.53/300.31
  6. Step 6: Final answer
    x = 383.55

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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.