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Finding the Fourth Proportional to 407.77, 560.95 and 357.76

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Solution

The fourth proportional to 407.77, 560.95 and 357.76 is: 492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.77 : 560.95 = 357.76 : x
  2. Step 2: Convert to fraction form
    407.77/560.95 = 357.76/x
  3. Step 3: Cross multiply
    407.77x = 560.95 × 357.76
  4. Step 4: Simplify right side
    407.77x = 200,685.47
  5. Step 5: Solve for x
    x = 200,685.47/407.77
  6. Step 6: Final answer
    x = 492.15

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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.