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Finding the Fourth Proportional to 356.76, 492.12 and 313.20

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Solution

The fourth proportional to 356.76, 492.12 and 313.20 is: 432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.76 : 492.12 = 313.20 : x
  2. Step 2: Convert to fraction form
    356.76/492.12 = 313.20/x
  3. Step 3: Cross multiply
    356.76x = 492.12 × 313.20
  4. Step 4: Simplify right side
    356.76x = 154,131.98
  5. Step 5: Solve for x
    x = 154,131.98/356.76
  6. Step 6: Final answer
    x = 432.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.