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Finding the Fourth Proportional to 405.10, 604.55 and 313.30

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Solution

The fourth proportional to 405.10, 604.55 and 313.30 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 604.55 = 313.30 : x
  2. Step 2: Convert to fraction form
    405.10/604.55 = 313.30/x
  3. Step 3: Cross multiply
    405.10x = 604.55 × 313.30
  4. Step 4: Simplify right side
    405.10x = 189,403.95
  5. Step 5: Solve for x
    x = 189,403.95/405.10
  6. Step 6: Final answer
    x = 467.55

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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.