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Finding the Fourth Proportional to 410.36, 612.95 and 345.56

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Solution

The fourth proportional to 410.36, 612.95 and 345.56 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.36 : 612.95 = 345.56 : x
  2. Step 2: Convert to fraction form
    410.36/612.95 = 345.56/x
  3. Step 3: Cross multiply
    410.36x = 612.95 × 345.56
  4. Step 4: Simplify right side
    410.36x = 211,811.00
  5. Step 5: Solve for x
    x = 211,811.00/410.36
  6. Step 6: Final answer
    x = 516.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.