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Finding the Fourth Proportional to 30.59, 45.78 and 20.93

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Solution

The fourth proportional to 30.59, 45.78 and 20.93 is: 31.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 45.78 = 20.93 : x
  2. Step 2: Convert to fraction form
    30.59/45.78 = 20.93/x
  3. Step 3: Cross multiply
    30.59x = 45.78 × 20.93
  4. Step 4: Simplify right side
    30.59x = 957.95
  5. Step 5: Solve for x
    x = 957.95/30.59
  6. Step 6: Final answer
    x = 31.32

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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.