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Finding the Fourth Proportional to 383, 528.64 and 258.68

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Solution

The fourth proportional to 383, 528.64 and 258.68 is: 357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383 : 528.64 = 258.68 : x
  2. Step 2: Convert to fraction form
    383/528.64 = 258.68/x
  3. Step 3: Cross multiply
    383x = 528.64 × 258.68
  4. Step 4: Simplify right side
    383x = 136,748.60
  5. Step 5: Solve for x
    x = 136,748.60/383
  6. Step 6: Final answer
    x = 357.05

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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.