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Finding the Fourth Proportional to 345.55, 477.53 and 257.16

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Solution

The fourth proportional to 345.55, 477.53 and 257.16 is: 355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.55 : 477.53 = 257.16 : x
  2. Step 2: Convert to fraction form
    345.55/477.53 = 257.16/x
  3. Step 3: Cross multiply
    345.55x = 477.53 × 257.16
  4. Step 4: Simplify right side
    345.55x = 122,800.33
  5. Step 5: Solve for x
    x = 122,800.33/345.55
  6. Step 6: Final answer
    x = 355.38

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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.