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Finding the Fourth Proportional to 376.95, 568.02 and 313.40

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Solution

The fourth proportional to 376.95, 568.02 and 313.40 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.95 : 568.02 = 313.40 : x
  2. Step 2: Convert to fraction form
    376.95/568.02 = 313.40/x
  3. Step 3: Cross multiply
    376.95x = 568.02 × 313.40
  4. Step 4: Simplify right side
    376.95x = 178,014.63
  5. Step 5: Solve for x
    x = 178,014.63/376.95
  6. Step 6: Final answer
    x = 472.25

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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.