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Finding the Fourth Proportional to 376.40, 561.16 and 342.20

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Solution

The fourth proportional to 376.40, 561.16 and 342.20 is: 510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.40 : 561.16 = 342.20 : x
  2. Step 2: Convert to fraction form
    376.40/561.16 = 342.20/x
  3. Step 3: Cross multiply
    376.40x = 561.16 × 342.20
  4. Step 4: Simplify right side
    376.40x = 192,028.95
  5. Step 5: Solve for x
    x = 192,028.95/376.40
  6. Step 6: Final answer
    x = 510.17

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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.