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Finding the Fourth Proportional to 305.46, 459.78 and 277.20

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Solution

The fourth proportional to 305.46, 459.78 and 277.20 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.46 : 459.78 = 277.20 : x
  2. Step 2: Convert to fraction form
    305.46/459.78 = 277.20/x
  3. Step 3: Cross multiply
    305.46x = 459.78 × 277.20
  4. Step 4: Simplify right side
    305.46x = 127,451.02
  5. Step 5: Solve for x
    x = 127,451.02/305.46
  6. Step 6: Final answer
    x = 417.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.