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Finding the Fourth Proportional to 341.10, 470.43 and 253.98

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Solution

The fourth proportional to 341.10, 470.43 and 253.98 is: 350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.10 : 470.43 = 253.98 : x
  2. Step 2: Convert to fraction form
    341.10/470.43 = 253.98/x
  3. Step 3: Cross multiply
    341.10x = 470.43 × 253.98
  4. Step 4: Simplify right side
    341.10x = 119,479.81
  5. Step 5: Solve for x
    x = 119,479.81/341.10
  6. Step 6: Final answer
    x = 350.28

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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.