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Finding the Fourth Proportional to 405.66, 608.58 and 243.45

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Solution

The fourth proportional to 405.66, 608.58 and 243.45 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.66 : 608.58 = 243.45 : x
  2. Step 2: Convert to fraction form
    405.66/608.58 = 243.45/x
  3. Step 3: Cross multiply
    405.66x = 608.58 × 243.45
  4. Step 4: Simplify right side
    405.66x = 148,158.80
  5. Step 5: Solve for x
    x = 148,158.80/405.66
  6. Step 6: Final answer
    x = 365.23

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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.