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Finding the Fourth Proportional to 317.04, 437.42 and 218.64

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Solution

The fourth proportional to 317.04, 437.42 and 218.64 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 437.42 = 218.64 : x
  2. Step 2: Convert to fraction form
    317.04/437.42 = 218.64/x
  3. Step 3: Cross multiply
    317.04x = 437.42 × 218.64
  4. Step 4: Simplify right side
    317.04x = 95,637.51
  5. Step 5: Solve for x
    x = 95,637.51/317.04
  6. Step 6: Final answer
    x = 301.66

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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.