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Finding the Fourth Proportional to 364.90, 545.21 and 352.14

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Solution

The fourth proportional to 364.90, 545.21 and 352.14 is: 526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.90 : 545.21 = 352.14 : x
  2. Step 2: Convert to fraction form
    364.90/545.21 = 352.14/x
  3. Step 3: Cross multiply
    364.90x = 545.21 × 352.14
  4. Step 4: Simplify right side
    364.90x = 191,985.76
  5. Step 5: Solve for x
    x = 191,985.76/364.90
  6. Step 6: Final answer
    x = 526.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.