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Finding the Fourth Proportional to 405.46, 605.72 and 265.51

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Solution

The fourth proportional to 405.46, 605.72 and 265.51 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.46 : 605.72 = 265.51 : x
  2. Step 2: Convert to fraction form
    405.46/605.72 = 265.51/x
  3. Step 3: Cross multiply
    405.46x = 605.72 × 265.51
  4. Step 4: Simplify right side
    405.46x = 160,824.72
  5. Step 5: Solve for x
    x = 160,824.72/405.46
  6. Step 6: Final answer
    x = 396.65

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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.