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Finding the Fourth Proportional to 307.33, 457.70 and 305.58

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Solution

The fourth proportional to 307.33, 457.70 and 305.58 is: 455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.33 : 457.70 = 305.58 : x
  2. Step 2: Convert to fraction form
    307.33/457.70 = 305.58/x
  3. Step 3: Cross multiply
    307.33x = 457.70 × 305.58
  4. Step 4: Simplify right side
    307.33x = 139,863.97
  5. Step 5: Solve for x
    x = 139,863.97/307.33
  6. Step 6: Final answer
    x = 455.09

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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.