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Finding the Fourth Proportional to 313.16, 432.64 and 267.01

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Solution

The fourth proportional to 313.16, 432.64 and 267.01 is: 368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.16 : 432.64 = 267.01 : x
  2. Step 2: Convert to fraction form
    313.16/432.64 = 267.01/x
  3. Step 3: Cross multiply
    313.16x = 432.64 × 267.01
  4. Step 4: Simplify right side
    313.16x = 115,519.21
  5. Step 5: Solve for x
    x = 115,519.21/313.16
  6. Step 6: Final answer
    x = 368.88

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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.