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Finding the Fourth Proportional to 356.66, 491.04 and 310.64

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Solution

The fourth proportional to 356.66, 491.04 and 310.64 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.66 : 491.04 = 310.64 : x
  2. Step 2: Convert to fraction form
    356.66/491.04 = 310.64/x
  3. Step 3: Cross multiply
    356.66x = 491.04 × 310.64
  4. Step 4: Simplify right side
    356.66x = 152,536.21
  5. Step 5: Solve for x
    x = 152,536.21/356.66
  6. Step 6: Final answer
    x = 427.68

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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.