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Finding the Fourth Proportional to 374.55, 559.38 and 313.74

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Solution

The fourth proportional to 374.55, 559.38 and 313.74 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.55 : 559.38 = 313.74 : x
  2. Step 2: Convert to fraction form
    374.55/559.38 = 313.74/x
  3. Step 3: Cross multiply
    374.55x = 559.38 × 313.74
  4. Step 4: Simplify right side
    374.55x = 175,499.88
  5. Step 5: Solve for x
    x = 175,499.88/374.55
  6. Step 6: Final answer
    x = 468.56

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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.