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Finding the Fourth Proportional to 407.36, 608.48 and 342.56

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Solution

The fourth proportional to 407.36, 608.48 and 342.56 is: 511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 608.48 = 342.56 : x
  2. Step 2: Convert to fraction form
    407.36/608.48 = 342.56/x
  3. Step 3: Cross multiply
    407.36x = 608.48 × 342.56
  4. Step 4: Simplify right side
    407.36x = 208,440.91
  5. Step 5: Solve for x
    x = 208,440.91/407.36
  6. Step 6: Final answer
    x = 511.69

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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.