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Finding the Fourth Proportional to 289.06, 435.40 and 263.53

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Solution

The fourth proportional to 289.06, 435.40 and 263.53 is: 396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 435.40 = 263.53 : x
  2. Step 2: Convert to fraction form
    289.06/435.40 = 263.53/x
  3. Step 3: Cross multiply
    289.06x = 435.40 × 263.53
  4. Step 4: Simplify right side
    289.06x = 114,740.96
  5. Step 5: Solve for x
    x = 114,740.96/289.06
  6. Step 6: Final answer
    x = 396.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.