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Finding the Fourth Proportional to 307.66, 460.64 and 235.18

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Solution

The fourth proportional to 307.66, 460.64 and 235.18 is: 352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 460.64 = 235.18 : x
  2. Step 2: Convert to fraction form
    307.66/460.64 = 235.18/x
  3. Step 3: Cross multiply
    307.66x = 460.64 × 235.18
  4. Step 4: Simplify right side
    307.66x = 108,333.32
  5. Step 5: Solve for x
    x = 108,333.32/307.66
  6. Step 6: Final answer
    x = 352.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.