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Finding the Fourth Proportional to 313.14, 466.43 and 299.10

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Solution

The fourth proportional to 313.14, 466.43 and 299.10 is: 445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 466.43 = 299.10 : x
  2. Step 2: Convert to fraction form
    313.14/466.43 = 299.10/x
  3. Step 3: Cross multiply
    313.14x = 466.43 × 299.10
  4. Step 4: Simplify right side
    313.14x = 139,509.21
  5. Step 5: Solve for x
    x = 139,509.21/313.14
  6. Step 6: Final answer
    x = 445.52

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Why These Related Problems?

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