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Finding the Fourth Proportional to 403.16, 556.29 and 340.86

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Solution

The fourth proportional to 403.16, 556.29 and 340.86 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.16 : 556.29 = 340.86 : x
  2. Step 2: Convert to fraction form
    403.16/556.29 = 340.86/x
  3. Step 3: Cross multiply
    403.16x = 556.29 × 340.86
  4. Step 4: Simplify right side
    403.16x = 189,617.01
  5. Step 5: Solve for x
    x = 189,617.01/403.16
  6. Step 6: Final answer
    x = 470.32

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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.