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Finding the Fourth Proportional to 343.24, 473.64 and 210.40

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Solution

The fourth proportional to 343.24, 473.64 and 210.40 is: 290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 473.64 = 210.40 : x
  2. Step 2: Convert to fraction form
    343.24/473.64 = 210.40/x
  3. Step 3: Cross multiply
    343.24x = 473.64 × 210.40
  4. Step 4: Simplify right side
    343.24x = 99,653.86
  5. Step 5: Solve for x
    x = 99,653.86/343.24
  6. Step 6: Final answer
    x = 290.33

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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.