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Finding the Fourth Proportional to 407.09, 560.64 and 313.67

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Solution

The fourth proportional to 407.09, 560.64 and 313.67 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.09 : 560.64 = 313.67 : x
  2. Step 2: Convert to fraction form
    407.09/560.64 = 313.67/x
  3. Step 3: Cross multiply
    407.09x = 560.64 × 313.67
  4. Step 4: Simplify right side
    407.09x = 175,858.53
  5. Step 5: Solve for x
    x = 175,858.53/407.09
  6. Step 6: Final answer
    x = 431.99

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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.