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Finding the Fourth Proportional to 55.51, 76.43 and 46.78

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Solution

The fourth proportional to 55.51, 76.43 and 46.78 is: 64.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.51 : 76.43 = 46.78 : x
  2. Step 2: Convert to fraction form
    55.51/76.43 = 46.78/x
  3. Step 3: Cross multiply
    55.51x = 76.43 × 46.78
  4. Step 4: Simplify right side
    55.51x = 3,575.32
  5. Step 5: Solve for x
    x = 3,575.32/55.51
  6. Step 6: Final answer
    x = 64.41

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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.