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Finding the Fourth Proportional to 309.36, 466.23 and 291.12

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Solution

The fourth proportional to 309.36, 466.23 and 291.12 is: 438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.36 : 466.23 = 291.12 : x
  2. Step 2: Convert to fraction form
    309.36/466.23 = 291.12/x
  3. Step 3: Cross multiply
    309.36x = 466.23 × 291.12
  4. Step 4: Simplify right side
    309.36x = 135,728.88
  5. Step 5: Solve for x
    x = 135,728.88/309.36
  6. Step 6: Final answer
    x = 438.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.