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Finding the Fourth Proportional to 305.02, 459.45 and 277.77

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Solution

The fourth proportional to 305.02, 459.45 and 277.77 is: 418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.02 : 459.45 = 277.77 : x
  2. Step 2: Convert to fraction form
    305.02/459.45 = 277.77/x
  3. Step 3: Cross multiply
    305.02x = 459.45 × 277.77
  4. Step 4: Simplify right side
    305.02x = 127,624.36
  5. Step 5: Solve for x
    x = 127,624.36/305.02
  6. Step 6: Final answer
    x = 418.41

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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.