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Finding the Fourth Proportional to 407.68, 560.64 and 355.84

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Solution

The fourth proportional to 407.68, 560.64 and 355.84 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 560.64 = 355.84 : x
  2. Step 2: Convert to fraction form
    407.68/560.64 = 355.84/x
  3. Step 3: Cross multiply
    407.68x = 560.64 × 355.84
  4. Step 4: Simplify right side
    407.68x = 199,498.14
  5. Step 5: Solve for x
    x = 199,498.14/407.68
  6. Step 6: Final answer
    x = 489.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.