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Finding the Fourth Proportional to 656.21, 905.58 and 357.46

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Solution

The fourth proportional to 656.21, 905.58 and 357.46 is: 493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.21 : 905.58 = 357.46 : x
  2. Step 2: Convert to fraction form
    656.21/905.58 = 357.46/x
  3. Step 3: Cross multiply
    656.21x = 905.58 × 357.46
  4. Step 4: Simplify right side
    656.21x = 323,710.26
  5. Step 5: Solve for x
    x = 323,710.26/656.21
  6. Step 6: Final answer
    x = 493.30

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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.