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Finding the Fourth Proportional to 501.90, 692.64 and 292.14

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Solution

The fourth proportional to 501.90, 692.64 and 292.14 is: 403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.90 : 692.64 = 292.14 : x
  2. Step 2: Convert to fraction form
    501.90/692.64 = 292.14/x
  3. Step 3: Cross multiply
    501.90x = 692.64 × 292.14
  4. Step 4: Simplify right side
    501.90x = 202,347.85
  5. Step 5: Solve for x
    x = 202,347.85/501.90
  6. Step 6: Final answer
    x = 403.16

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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.