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Finding the Fourth Proportional to 405.60, 604.92 and 362.40

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Solution

The fourth proportional to 405.60, 604.92 and 362.40 is: 540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 604.92 = 362.40 : x
  2. Step 2: Convert to fraction form
    405.60/604.92 = 362.40/x
  3. Step 3: Cross multiply
    405.60x = 604.92 × 362.40
  4. Step 4: Simplify right side
    405.60x = 219,223.01
  5. Step 5: Solve for x
    x = 219,223.01/405.60
  6. Step 6: Final answer
    x = 540.49

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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.