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Finding the Fourth Proportional to 309.64, 427.64 and 291.48

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Solution

The fourth proportional to 309.64, 427.64 and 291.48 is: 402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 427.64 = 291.48 : x
  2. Step 2: Convert to fraction form
    309.64/427.64 = 291.48/x
  3. Step 3: Cross multiply
    309.64x = 427.64 × 291.48
  4. Step 4: Simplify right side
    309.64x = 124,648.51
  5. Step 5: Solve for x
    x = 124,648.51/309.64
  6. Step 6: Final answer
    x = 402.56

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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.