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Finding the Fourth Proportional to 46.32, 64 and 40.96

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Solution

The fourth proportional to 46.32, 64 and 40.96 is: 56.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 64 = 40.96 : x
  2. Step 2: Convert to fraction form
    46.32/64 = 40.96/x
  3. Step 3: Cross multiply
    46.32x = 64 × 40.96
  4. Step 4: Simplify right side
    46.32x = 2,621.44
  5. Step 5: Solve for x
    x = 2,621.44/46.32
  6. Step 6: Final answer
    x = 56.59

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1.5x scale

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.