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Finding the Fourth Proportional to 54.23, 74.70 and 46.40

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Solution

The fourth proportional to 54.23, 74.70 and 46.40 is: 63.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.23 : 74.70 = 46.40 : x
  2. Step 2: Convert to fraction form
    54.23/74.70 = 46.40/x
  3. Step 3: Cross multiply
    54.23x = 74.70 × 46.40
  4. Step 4: Simplify right side
    54.23x = 3,465.71
  5. Step 5: Solve for x
    x = 3,465.71/54.23
  6. Step 6: Final answer
    x = 63.91

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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.