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Finding the Fourth Proportional to 374.76, 557.73 and 362.76

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Solution

The fourth proportional to 374.76, 557.73 and 362.76 is: 539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.76 : 557.73 = 362.76 : x
  2. Step 2: Convert to fraction form
    374.76/557.73 = 362.76/x
  3. Step 3: Cross multiply
    374.76x = 557.73 × 362.76
  4. Step 4: Simplify right side
    374.76x = 202,322.13
  5. Step 5: Solve for x
    x = 202,322.13/374.76
  6. Step 6: Final answer
    x = 539.87

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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.