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Finding the Fourth Proportional to 46.89, 70.01 and 46.55

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Solution

The fourth proportional to 46.89, 70.01 and 46.55 is: 69.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.89 : 70.01 = 46.55 : x
  2. Step 2: Convert to fraction form
    46.89/70.01 = 46.55/x
  3. Step 3: Cross multiply
    46.89x = 70.01 × 46.55
  4. Step 4: Simplify right side
    46.89x = 3,259.08
  5. Step 5: Solve for x
    x = 3,259.08/46.89
  6. Step 6: Final answer
    x = 69.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.