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Finding the Fourth Proportional to 407.36, 561.84 and 341.28

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Solution

The fourth proportional to 407.36, 561.84 and 341.28 is: 470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 561.84 = 341.28 : x
  2. Step 2: Convert to fraction form
    407.36/561.84 = 341.28/x
  3. Step 3: Cross multiply
    407.36x = 561.84 × 341.28
  4. Step 4: Simplify right side
    407.36x = 191,744.76
  5. Step 5: Solve for x
    x = 191,744.76/407.36
  6. Step 6: Final answer
    x = 470.70

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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.