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Finding the Fourth Proportional to 31.60, 45.26 and 31.60

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Solution

The fourth proportional to 31.60, 45.26 and 31.60 is: 45.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.60 : 45.26 = 31.60 : x
  2. Step 2: Convert to fraction form
    31.60/45.26 = 31.60/x
  3. Step 3: Cross multiply
    31.60x = 45.26 × 31.60
  4. Step 4: Simplify right side
    31.60x = 1,430.22
  5. Step 5: Solve for x
    x = 1,430.22/31.60
  6. Step 6: Final answer
    x = 45.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.