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Finding the Fourth Proportional to 368.13, 507.43 and 257.37

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Solution

The fourth proportional to 368.13, 507.43 and 257.37 is: 354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.13 : 507.43 = 257.37 : x
  2. Step 2: Convert to fraction form
    368.13/507.43 = 257.37/x
  3. Step 3: Cross multiply
    368.13x = 507.43 × 257.37
  4. Step 4: Simplify right side
    368.13x = 130,597.26
  5. Step 5: Solve for x
    x = 130,597.26/368.13
  6. Step 6: Final answer
    x = 354.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.