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Finding the Fourth Proportional to 307.14, 457.60 and 304.10

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Solution

The fourth proportional to 307.14, 457.60 and 304.10 is: 453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.14 : 457.60 = 304.10 : x
  2. Step 2: Convert to fraction form
    307.14/457.60 = 304.10/x
  3. Step 3: Cross multiply
    307.14x = 457.60 × 304.10
  4. Step 4: Simplify right side
    307.14x = 139,156.16
  5. Step 5: Solve for x
    x = 139,156.16/307.14
  6. Step 6: Final answer
    x = 453.07

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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.