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Finding the Fourth Proportional to 405.67, 560.06 and 312.23

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Solution

The fourth proportional to 405.67, 560.06 and 312.23 is: 431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.67 : 560.06 = 312.23 : x
  2. Step 2: Convert to fraction form
    405.67/560.06 = 312.23/x
  3. Step 3: Cross multiply
    405.67x = 560.06 × 312.23
  4. Step 4: Simplify right side
    405.67x = 174,867.53
  5. Step 5: Solve for x
    x = 174,867.53/405.67
  6. Step 6: Final answer
    x = 431.06

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