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Finding the Fourth Proportional to 10.51, 15.76 and 2.90

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Solution

The fourth proportional to 10.51, 15.76 and 2.90 is: 4.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.51 : 15.76 = 2.90 : x
  2. Step 2: Convert to fraction form
    10.51/15.76 = 2.90/x
  3. Step 3: Cross multiply
    10.51x = 15.76 × 2.90
  4. Step 4: Simplify right side
    10.51x = 45.71
  5. Step 5: Solve for x
    x = 45.71/10.51
  6. Step 6: Final answer
    x = 4.35

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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.