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Finding the Fourth Proportional to 370.31, 557.62 and 305.91

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Solution

The fourth proportional to 370.31, 557.62 and 305.91 is: 460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.31 : 557.62 = 305.91 : x
  2. Step 2: Convert to fraction form
    370.31/557.62 = 305.91/x
  3. Step 3: Cross multiply
    370.31x = 557.62 × 305.91
  4. Step 4: Simplify right side
    370.31x = 170,580.77
  5. Step 5: Solve for x
    x = 170,580.77/370.31
  6. Step 6: Final answer
    x = 460.65

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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.