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Finding the Fourth Proportional to 530.14, 795.21 and 145.39

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Solution

The fourth proportional to 530.14, 795.21 and 145.39 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 795.21 = 145.39 : x
  2. Step 2: Convert to fraction form
    530.14/795.21 = 145.39/x
  3. Step 3: Cross multiply
    530.14x = 795.21 × 145.39
  4. Step 4: Simplify right side
    530.14x = 115,615.58
  5. Step 5: Solve for x
    x = 115,615.58/530.14
  6. Step 6: Final answer
    x = 218.09

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.