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Finding the Fourth Proportional to 52.40, 78.46 and 35

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Solution

The fourth proportional to 52.40, 78.46 and 35 is: 52.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.46 = 35 : x
  2. Step 2: Convert to fraction form
    52.40/78.46 = 35/x
  3. Step 3: Cross multiply
    52.40x = 78.46 × 35
  4. Step 4: Simplify right side
    52.40x = 2,746.10
  5. Step 5: Solve for x
    x = 2,746.10/52.40
  6. Step 6: Final answer
    x = 52.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.