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Finding the Fourth Proportional to 305.42, 455.56 and 256.10

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Solution

The fourth proportional to 305.42, 455.56 and 256.10 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 455.56 = 256.10 : x
  2. Step 2: Convert to fraction form
    305.42/455.56 = 256.10/x
  3. Step 3: Cross multiply
    305.42x = 455.56 × 256.10
  4. Step 4: Simplify right side
    305.42x = 116,668.60
  5. Step 5: Solve for x
    x = 116,668.60/305.42
  6. Step 6: Final answer
    x = 381.99

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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.