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Finding the Fourth Proportional to 307.37, 458.35 and 304.63

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Solution

The fourth proportional to 307.37, 458.35 and 304.63 is: 454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.37 : 458.35 = 304.63 : x
  2. Step 2: Convert to fraction form
    307.37/458.35 = 304.63/x
  3. Step 3: Cross multiply
    307.37x = 458.35 × 304.63
  4. Step 4: Simplify right side
    307.37x = 139,625.25
  5. Step 5: Solve for x
    x = 139,625.25/307.37
  6. Step 6: Final answer
    x = 454.25

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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.