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Finding the Fourth Proportional to 303.51, 453.07 and 257.37

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Solution

The fourth proportional to 303.51, 453.07 and 257.37 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.51 : 453.07 = 257.37 : x
  2. Step 2: Convert to fraction form
    303.51/453.07 = 257.37/x
  3. Step 3: Cross multiply
    303.51x = 453.07 × 257.37
  4. Step 4: Simplify right side
    303.51x = 116,606.63
  5. Step 5: Solve for x
    x = 116,606.63/303.51
  6. Step 6: Final answer
    x = 384.19

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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.