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Finding the Fourth Proportional to 19.58, 29.26 and 17.42

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Solution

The fourth proportional to 19.58, 29.26 and 17.42 is: 26.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.58 : 29.26 = 17.42 : x
  2. Step 2: Convert to fraction form
    19.58/29.26 = 17.42/x
  3. Step 3: Cross multiply
    19.58x = 29.26 × 17.42
  4. Step 4: Simplify right side
    19.58x = 509.71
  5. Step 5: Solve for x
    x = 509.71/19.58
  6. Step 6: Final answer
    x = 26.03

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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.