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Finding the Fourth Proportional to 366.77, 547.06 and 312.05

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Solution

The fourth proportional to 366.77, 547.06 and 312.05 is: 465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.77 : 547.06 = 312.05 : x
  2. Step 2: Convert to fraction form
    366.77/547.06 = 312.05/x
  3. Step 3: Cross multiply
    366.77x = 547.06 × 312.05
  4. Step 4: Simplify right side
    366.77x = 170,710.07
  5. Step 5: Solve for x
    x = 170,710.07/366.77
  6. Step 6: Final answer
    x = 465.44

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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.