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Finding the Fourth Proportional to 370.94, 558.96 and 307.37

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Solution

The fourth proportional to 370.94, 558.96 and 307.37 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.94 : 558.96 = 307.37 : x
  2. Step 2: Convert to fraction form
    370.94/558.96 = 307.37/x
  3. Step 3: Cross multiply
    370.94x = 558.96 × 307.37
  4. Step 4: Simplify right side
    370.94x = 171,807.54
  5. Step 5: Solve for x
    x = 171,807.54/370.94
  6. Step 6: Final answer
    x = 463.17

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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.