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Finding the Fourth Proportional to 35.85, 49.35 and 35.40

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Solution

The fourth proportional to 35.85, 49.35 and 35.40 is: 48.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.85 : 49.35 = 35.40 : x
  2. Step 2: Convert to fraction form
    35.85/49.35 = 35.40/x
  3. Step 3: Cross multiply
    35.85x = 49.35 × 35.40
  4. Step 4: Simplify right side
    35.85x = 1,746.99
  5. Step 5: Solve for x
    x = 1,746.99/35.85
  6. Step 6: Final answer
    x = 48.73

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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.