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Finding the Fourth Proportional to 56.51, 78 and 38.09

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Solution

The fourth proportional to 56.51, 78 and 38.09 is: 52.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.51 : 78 = 38.09 : x
  2. Step 2: Convert to fraction form
    56.51/78 = 38.09/x
  3. Step 3: Cross multiply
    56.51x = 78 × 38.09
  4. Step 4: Simplify right side
    56.51x = 2,971.02
  5. Step 5: Solve for x
    x = 2,971.02/56.51
  6. Step 6: Final answer
    x = 52.58

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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.