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Finding the Fourth Proportional to 530.65, 795.71 and 206.11

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Solution

The fourth proportional to 530.65, 795.71 and 206.11 is: 309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.65 : 795.71 = 206.11 : x
  2. Step 2: Convert to fraction form
    530.65/795.71 = 206.11/x
  3. Step 3: Cross multiply
    530.65x = 795.71 × 206.11
  4. Step 4: Simplify right side
    530.65x = 164,002.76
  5. Step 5: Solve for x
    x = 164,002.76/530.65
  6. Step 6: Final answer
    x = 309.06

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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.